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The cosmic distance-duality relation (CDDR), expressed as $ D_L/D_A(1+z)^{-2}=1 $, is a fundamental relation in cosmology connecting luminosity distance ($ D_L $) and angular diameter distance ($ D_A $). Any departure from this relation…

宇宙学与河外天体物理 · 物理学 2026-05-18 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

The angular diameter distances toward galaxy clusters can be determined with measurements of the Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation, $D_L(z) (1 +…

宇宙学与河外天体物理 · 物理学 2012-02-17 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

We carry out a test of the cosmic distance duality relation using a sample of 52 SPT-SZ clusters, along with X-ray measurements from XMM-Newton. To carry out this test, we need an estimate of the luminosity distance ($D_L$) at the redshift…

宇宙学与河外天体物理 · 物理学 2021-06-30 Kamal Bora , Shantanu Desai

The cosmic distance-duality relation (CDDR), $d_L(z) (1 + z)^{2}/d_{A}(z) = \eta$, where $\eta = 1$ and $d_L(z)$ and $d_A(z)$ are, respectively, the luminosity and the angular diameter distances, holds as long as the number of photons is…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. S. Gonçalves , A. Bernui , R. F. L. Holanda , J. S. Alcaniz

Testing the cosmic distance duality relation (CDDR) constitutes an important task for cosmology and fundamental physics since any violation of it would be a clear evidence of new physics. In this {\it Letter}, we propose a new test for the…

宇宙学与河外天体物理 · 物理学 2012-06-29 R. F. L. Holanda , R. S. Goncalves , J. S. Alcaniz

The cosmic distance duality relation (CDDR), $D_{\rm L}(1+z)^{-2}/D_{\rm A}=\eta=1$, with $D_{\rm L}$ and $D_{\rm A}$, being the luminosity and angular diameter distances, respectively, is a crucial premise in cosmological scenarios. Many…

宇宙学与河外天体物理 · 物理学 2020-09-16 W. J. C. da Silva , R. F. L. Holanda , R. Silva

In this paper we discuss a new cosmological model-independent test for the cosmic distance duality relation (CDDR), $\eta = D_{L}(L)(1+z)^{-2}/D_{A}(z)=1$, where $D_{A}(z)$ and $D_{L}(z)$ are the angular and luminosity distances,…

宇宙学与河外天体物理 · 物理学 2012-06-29 R. S. Goncalves , R. F. L. Holanda , J. S. Alcaniz

We propose and perform a new test of the cosmic distance-duality relation (CDDR), $D_L(z) / D_A(z) (1 + z)^{2} = 1$, where $D_A$ is the angular diameter distance and $D_L$ is the luminosity distance to a given source at redshift $z$, using…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , V. C. Busti , J. S. Alcaniz

In this letter we propose a new and model-independent cosmological test for the distance-duality (DD) relation, \eta=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1, where D_{L} and D_{A} are, respectively, the luminosity and angular diameter distances. For…

宇宙学与河外天体物理 · 物理学 2010-12-01 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

In this paper, we propose an accurate test of the distance-duality (DD) relation, $\eta=D_{L}(z)(1+z)^{-2}/D_{A}(z)=1$ (where $D_{L}$ and $D_{A}$ are the luminosity distances and angular diameter distances, respectively), with a combination…

宇宙学与河外天体物理 · 物理学 2015-05-28 Shuo Cao , Nan Liang

An important result from self-similar models that describe the process of galaxy cluster formation is the simple scaling relation $Y_{\rm SZE}D_{\rm A}^{2}/C_{\rm XSZE}Y_{\rm X}= C$. In this ratio, $Y_{\rm SZE}$ is the integrated…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , W. J. C. da Silva

We perform a cosmological-model-independent test for the distance-duality (DD) relation $\eta(z)=D_L(z)(1+z)^{-2}/D_A(z)$, where $D_L$ and $D_A$ are the luminosity distance and angular diameter distance respectively, with a combination of…

宇宙学与河外天体物理 · 物理学 2011-02-15 Zhengxiang Li , Puxun Wu , Hongwei Yu

Observations in the cosmological domain are heavily dependent on the validity of the cosmic distance-duality (DD) relation, D_L(z) (1 + z)^{2}/D_{A}(z) = 1, an exact result required by the Etherington reciprocity theorem where D_L(z) and…

宇宙学与河外天体物理 · 物理学 2015-03-13 R. F. L. Holanda , J. A. S. Lima , M. B. Ribeiro

The cosmic distance duality relation (DDR), which connects the angular diameter distance and luminosity distance through a simple formula $D_A(z)(1+z)^2/D_L(z)\equiv1$, is an important relation in cosmology. Therefore, testing the validity…

宇宙学与河外天体物理 · 物理学 2018-09-05 Hai-Nan Lin , Ming-Hua Li , Xin Li

Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the validity of the cosmic distance duality relation (CDDR), $D_L(z)/[(1+z)^2D_A(z)]=\eta=1$, where $D_L(z)$ and…

宇宙学与河外天体物理 · 物理学 2021-11-01 R. F. L. Holanda , V. C. Busti , F. S. Lima , J. S. Alcaniz

We propose a new consistent method to test of the distance-duality (DD) relation which related angular diameter distances (DA) to the luminosity distances (DL) in a cosmology-independent way. In order to avoid any bias brought by redshift…

宇宙学与河外天体物理 · 物理学 2017-03-08 Nan Liang , Zhengxiang Li , Puxun Wu , Shuo Cao , Kai Liao , Zong-Hong Zhu

The cosmic distance duality relation (CDDR), eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, is one of the most fundamental and crucial formulae in cosmology. This relation couples the luminosity and angular diameter distances, two of the most often used…

宇宙学与河外天体物理 · 物理学 2021-02-10 Jin Qin , Fulvio Melia , Tong-Jie Zhang

The cosmic distance duality relation (CDDR), expressed as $d_L(z) = (1+z)^2 D_A(z)$, is a fundamental relation in modern cosmology. In this work, we apply a method to test the CDDR using simulated strongly lensed gravitational-wave (SLGW)…

宇宙学与河外天体物理 · 物理学 2026-03-25 Yong Yuan , Minghui Du , Benyang Zhu , Xin-yi Lin , Wen-Fan Feng , Peng Xu , Xilong Fan

We demonstrate that the recent measurements of the angular diameter distance of 38 cluster of galaxies using Chandra X-ray data and radio observations from the OVRO and BIMA interferometric arrays place new and independent constraints on…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Francesco De Bernardis , Elena Giusarma , Alessandro Melchiorri

A distance-deviation consistency and model-independent method to test the cosmic distance duality relation (CDDR) is provided. The method is worth attention on two aspects: firstly, a distance-deviation consistency method is used to pair…

宇宙学与河外天体物理 · 物理学 2021-03-17 C. C. Zhou , J. Hu , M. C. LI , X. Zhang , G. W. Fang
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